Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.3 - Applications of Linear Equations - 1.3 Exercises - Page 74: 24



Work Step by Step

With an equal sign, the given is an $\text{ equation }.$ Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the solution to the given equation, $ -7(x+4)+13(x-6)=18 ,$ is \begin{array}{l}\require{cancel} -7x-28+13x-78=18 \\\\ -7x+13x=18+28+78 \\\\ 6x=124 \\\\ x=\dfrac{124}{6} \\\\ x=\dfrac{\cancel{2}(62)}{\cancel{2}(3)} \\\\ x=\dfrac{62}{3} .\end{array}
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